Solve frac{-7-sqrt{-4*1*15}}{2*1}

$$\frac{ -7- \sqrt{ -4 \cdot 1 \cdot 15 } }{ 2 \cdot 1 }$$

Evaluate (complex solution)

$$-\sqrt{15}i-\frac{7}{2}\approx -3.5-3.872983346i$$

Solution Steps

Multiply -4 and 1 to get -4.

$$\frac{-7-\sqrt{-4\times 15}}{2\times 1}$$

Multiply -4 and 15 to get -60.

$$\frac{-7-\sqrt{-60}}{2\times 1}$$

Factor -60=\left(2i\right)^{2}\times 15. Rewrite the square root of the product \sqrt{\left(2i\right)^{2}\times 15} as the product of square roots \sqrt{\left(2i\right)^{2}}\sqrt{15}. Take the square root of \left(2i\right)^{2}.

$$\frac{-7-2i\sqrt{15}}{2\times 1}$$

Multiply 2 and 1 to get 2.

$$\frac{-7-2i\sqrt{15}}{2}$$

Real Part (complex solution)

$$-\frac{7}{2} = -3\frac{1}{2} = -3.5$$

Evaluate

$$\text{Indeterminate}$$